Revealing the ultra-sensitive calorimetric properties of supercon-ducting magic-angle twisted bilayer graphene

The allegedly unconventional superconducting phase of magic-angle twisted bilayer graphene (MATBG)1 has been predicted to possess extraordinary thermal properties, as it is formed from a highly diluted electron ensemble with both a record-low carrier density n ~ 10^11 cm-2 and electronic heat capacity Ce < 100 kB. While these attributes position MATBG as a ground-breaking material platform for revolutionary calorimetric applications2, these properties have so far not been experimentally shown. Here we reveal the ultra-sensitive calorimetric properties of a superconducting MATBG device, by monitoring its temperature dependent critical current Ic under continuous laser heating with a wavelength of 1550nm. From the bolometric effect, we are able to extract the temperature dependence of the electronic thermal conductance Gth, which remarkably has a non-zero value Gth = 0.19 pW/K at 35mK and in the low temperature limit is consistent with a power law dependence, as expected for nodal superconductors. Photo-voltage measurements on this non-optimized device reveal a peak responsivity of S = 5.8 x 10^7 V/W when the device is biased close to Ic, with a noise-equivalent power of NEP = 5.5 x 10^-16 WHz^-1/2. Analysis of the intrinsic perfor-mance shows that a theoretically achievable limit is defined by thermal fluctuations and can be as low as NEPTEF < 10^-20 WHz-1/2, with operation speeds as fast as ~ 500 ns. This establishes superconducting MATBG as a revolutionizing active material for ultra-sensitive photon-detection applications, which could enable currently unavailable technologies such as THz photon-number-resolving single-photon-detectors